I grew up hunting the little beggars in Ohio. Chucks taught me a bunch about how to hunt with a bow and arrow. I got pretty serious my last year in high school (1991) and killed 50 with my bow that spring/summer. This was pretty good with a bow in an area where a good hand with a 22-250 that really got after them might shoot 100 in a year.
Dad used to say if he was king of the world you'd have to bring him 20 groudhog tails before you could buy a deer tag - then you'd be ready to deer hunt with a bow!
I've killed them by sneaking, from trees (both with ME up the tree and with the CHUCK up the tree - they can climb amazingly well), waiting them out and by dumb luck. A good strategy (and one guaranteed to teach you patience) is to spook the hog down the hole then VERY quietly set up on the other side of the hole - 5 to 10 feet away - with an arrow on the string and the bow up and ready and wait. Eventually he'll stick his head out, generally looking where he last saw you, at which point you shoot him in the back of the head. You'd be surprised how hard it is to hit that 2 by 2 inch target (brain pan) at even a few feet. I used to figure if he didn't come back out within 45 minutes he probably wouldnt.
I dont have enough around home in IN now to hunt (too many coyotes, I suppose) and I really miss chasing them.
Good luck on the chucks!
Ryan